Math 6 ACC Semester 1 Study Guide
Short Answer
1. A geologist weighed four rocks, with these results: Rock A 1.147 kg; Rock B, 1.15 kg; Rock C, 1.098 kg;
Rock D, 0.917. Order the rocks from lightest to heaviest..
2. Alberto ran a race in 18.6 seconds. Jake ran the race in 19.506 seconds. Circle the race time that is greater
than 18.6 seconds but less than 19.506?
18.054 seconds
19.04 seconds
18.489 seconds
19.63 seconds
3. The heights of four different plants are listed below. Which plant grew the most between week 1 and 2?
Plant
Week 1
Week 2
Plant Height (in.)
T
S
15.9
23.6
21.4
27.4
U
17.1
22.9
W
12.5
16.4
4. Which symbol makes the following inequality true?
37.151
37.1509
5. Four bags of potatoes weigh 3.98 pounds, 5.161 pounds, 4.5 pounds, and 3.39 pounds. What is the total
weight of the bags?
6. From a bolt of cloth measuring 35.50 yards, Trina cut a 5.7 yard piece and an 11.6 yard piece. How much
material is left on the bolt?
7. Sara bought three shirts costing $19.88, $17, and $23.60. She paid with a $100 bill. How much change did
she receive?
8. Lisa cut a rope that was 15.75 meters long into 3 pieces. The first piece of rope was 6.4 meters long, and the
second piece of rope was 3.36 meters long. How long was the third piece of rope?
9. Daniel bought 2.5 pounds of cheddar cheese at $5.92 per pound, what is the total cost of the cheddar cheese?
10. Baker Park is a rectangle measuring 74.8 meters by 12.6 meters. What is the area of the park? Round to the
nearest meter.
11. The table below gives the costs for organizing the 5th grade Field Day at Montgomery Elementary School.
90 students will attend the event. What is the cost per student for refreshments only?
Expense
Supplies
Announcer
Refreshments
Total Cost ($)
$272.70
$168.89
$113.40
12. A 17.5 kilometer race course is divided into 2.5 kilometer sections How many sections are there in the
complete course?
13. Mary needs 135 hot dog buns for the class picnic. The buns come in packs of 10. She wants to know how
many packs to buy. What should she do after she divides?
14. Kay owns a bakery. Last week she paid $43.80 for 12 gallons of milk. This week she determines she needs
15 gallons of milk. How much can Kay expect to pay for 15 gallons of milk if the price per gallon remains
the same?
15. Use the table to answer questions 15-18
City, Country
Length (mi)
New York, U.S.
257
Mexico City, Mexico
111
Moscow, Russia
145
Seoul, South Korea
91
Tokyo, Japan
135
Paris, France
124
Which subway’s length is divisible by 4 miles?
16. Which subway’s length is not a prime number, but also not divisible by 2, 3, 4, 5, 6, or 9?
17. Which subway could easily be broken into sections of 5 or 3miles?
18. Which subway has a length that is a prime number of miles?
19. It takes 180 drops of water to fill a teaspoon. Write the prime factorization of 180 using exponents.
20. Which factor apperars two times in the prime factorization of 200?
21. Circle the pair of numbers that meet all of the following requirements.
* equal a prime number when added
* equal a composite number when multiplied
* are prime numbers themselves
3, 11
3, 8
3, 9
2, 11
22. Shelia cannot remember her locker number! She knows that her locker number is prime, and that it is a factor
of 225. What are all of Shelia’s possible locker numbers?
23. Which of the following expression has a value of 27.
5 cubed
all of the above
24. Find the missing exponent in
= 216
25. Find the missing base in ? = 32
26. Circle the equation that is true?
1 =6 .
2 =3
2 =4
3 =4
27. Find the greatest common factor (GCF) of 126, 99, and 108.
28. Mrs. Hill is preparing for a group art project. She has 52 pipe cleaners, 78 pieces of colored paper, 91 cotton
balls and 117 strings of yarn. What is the greatest number of groups that Mrs. Hill can make if all the
supplies are used?
29. Kim packed 5 boxes with identical supplies. It was the greatest number she could pack and use all the
supplies. Circle her supply list..
45 pencils, 72 pens, 15 rulers
50 pencils, 60 pens, 30 rulers
25 pencils, 30 pens, 10 rulers
30 pencils, 45 pens, 12 rulers
30. What are the GCF and LCM of 27 and 36?
31. Circle the number that is NOT a common multiple of 4 and 6?
16
24
12
60
32. The 30 sixth graders, 70 seventh graders and 45 eighth graders at science camp are being formed into teams.
Each team must have the same number of sixth, seventh and eighth graders, and every camper must be on a
team. How many teams will there be and how many campers from each grade will be on each team?
33. Pat and Fran are quality control specialists in a light bulb factory. Pat inspects every 40 cartons of bulbs for
breakage. Fran inspects every 25 cartons for incorrect labeling. If they start at the same time, which carton
will be the first that they both inspect.
34. Physical education class lasts
35.
is not equivalent to
.
of an hour. Write
in simplest form.
True or False
36. Which denominator makes the fractions
and
equivalent?
37. Billy has 24 trading cards. He gave 6 of his cards to Mike and 13 of his cards to Tim. What fraction of his
original cards does Billy have left.
38. The 300 students at West Middle School have a traditional election for student council officers. Eden, Frank,
Gabrielle, and Hernando ran for president. Eden received
Gabrielle received
of the votes. Frank received
of the votes,
, and Hernando received . Which set of fractions is in order from the greatest votes to
the least number of votes?
39. Students voted for their favorite after school activity. Computer games received
of the votes, reading
,
watching TV , and playing sports . Order the activities from least popular to most popular.
40. Compare the numbers 6 and 6
. Which inequality symbol makes the number sentence true.
41. Circle the inequality that is true.
42. What operations are used to change a mixed number to an improper fraction?
43. Four students are growing sunflowers in the school garden. The table below shows the height of the tallest
sunflower each student has grown. Who grew the smallest flower?
Name
Andy
Bianca
Cody
Elyse
Height (ft)
44. It takes
new pencils placed end to end to be the same length as one yardstick. About how many pencils
will be used?
45. The table gives the heights of five of the tallest players ever to play professional basketball. Which player is
the shortest?
Name
Randy Breuer
Yao Ming
Ralph Sampson
Manute Bol
Height (m)
Math 6 ACC Semester 1 Study Guide
Answer Section
SHORT ANSWER
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
Rocks D, C, A, B
19.04 seconds
Plant U
37.151 > 37.1509
17.031 pounds
18.2 yards
$39.52
5.99 meters
$14.80
942 meters
$1.26
7 sections
Round the quotient up to the next highest whole number.
$54.75
Paris, France
Seoul, South Korea
Tokyo, Japan
New York, U.S.
19.
20.
21.
22.
23.
24.
25.
5
2, 11
3, 5
all of the above
3
3
26.
27.
28.
29.
30.
31.
32.
2 =4
9
13 groups
25 pencils, 30 pens, 10 rulers
9, 108
16
5 teams
6 sixth, 14 seventh, 9 eight graders
33. carton 200
34.
35. True
36. 140
37.
38.
39. reading, TV, sports, computer games
40.
41.
42.
43.
44.
45.
multiplication and addition
Andy
5
Randy Breuer